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10940064 = 253831373
BaseRepresentation
bin101001101110…
…111010100000
3202120210221120
4221232322200
510300040224
61030252240
7161663142
oct51567240
922523846
1010940064
1161a2483
1237b7080
132360715
14164ac92
15e61779
hexa6eea0

10940064 has 48 divisors (see below), whose sum is σ = 29084832. Its totient is φ = 3600128.

The previous prime is 10940063. The next prime is 10940077. The reversal of 10940064 is 46004901.

10940064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10940063) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7282 + ... + 8654.

It is an arithmetic number, because the mean of its divisors is an integer number (605934).

Almost surely, 210940064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10940064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14542416).

10940064 is an abundant number, since it is smaller than the sum of its proper divisors (18144768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10940064 is a wasteful number, since it uses less digits than its factorization.

10940064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 10940064 is about 3307.5767564790. The cubic root of 10940064 is about 221.9933444965.

Adding to 10940064 its reverse (46004901), we get a palindrome (56944965).

The spelling of 10940064 in words is "ten million, nine hundred forty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 249 332 498 664 996 1328 1373 1992 2656 2746 3984 4119 5492 7968 8238 10984 16476 21968 32952 43936 65904 113959 131808 227918 341877 455836 683754 911672 1367508 1823344 2735016 3646688 5470032 10940064